E. Polulyakh

activity

19992017

most citedFoliations with all non-closed leaves on non-compact surfaces

6 citations · 9 across the 9 of their papers we have counts for

collaborators

10 papers

math.GT2017

Characterization of striped surfaces

Sergiy Maksymenko, Eugene Polulyakh

Let $Z$ be a non-compact two-dimensional manifold and $Δ$ be a one-dimensional foliation of $Z$ such that $\partial Z$ consists of leaves of $Δ$ and each leaf of $Δ$ is a non-compa…

math.GT2017★ 1 cited

Homeotopy groups of one-dimensional foliations on surfaces

Sergiy Maksymenko, Eugene Polulyakh, Yuliya Soroka

Let $Z$ be a non-compact two-dimensional manifold obtained from a family of open strips $R \times (0, 1)$ with boundary intervals by gluing those strips along their boundary…

math.GT2016

One-dimensional foliations on topological manifolds

Sergiy Maksymenko, Eugene Polulyakh

Let $X$ be an $(n + 1)$ -dimensional manifold, $Δ$ be a one-dimensional foliation on $X$ , and $p : X \to X /Δ$ be a quotient map. We will say that a leaf $ω$ of $Δ$ is special wheneve…

math.GT2016★ 6 cited

Foliations with all non-closed leaves on non-compact surfaces

Sergiy Maksymenko, Eugene Polulyakh

Let $X$ be a connected non-compact $2$ -dimensional manifold possibly with boundary and $Δ$ be a foliation on $X$ such that each leaf $ω \in Δ$ is homeomorphic to $R$ and has…

math.GT2015

Foliations with non-compact leaves on surfaces

Sergiy Maksymenko, Eugene Polulyakh

We study non-compact surfaces obtained by gluing strips $R \times (- 1, 1)$ with at most countably many boundary intervals along some these intervals. Every such strip possess…

math.GN2009

On the criteria of D-planarity of a tree

E. Polulyakh, I. Yurchuk

Let $T$ be a tree with a fixed subset of vertices $V^{*}$ such that there is a cyclic order $C$ on it and all terminal vertices are contained in this set. Let $D^{2} = \{(x,y) \…